What is the Least Common Multiple of 15210 and 15226?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15210 and 15226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15210 and 15226, than apply into the LCM equation.

GCF(15210,15226) = 2
LCM(15210,15226) = ( 15210 × 15226) / 2
LCM(15210,15226) = 231587460 / 2
LCM(15210,15226) = 115793730

Least Common Multiple (LCM) of 15210 and 15226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15210 and 15226. First we will calculate the prime factors of 15210 and 15226.

Prime Factorization of 15210

Prime Factorization of 15226

Now multiplying the highest exponent prime factors to calculate the LCM of 15210 and 15226.

LCM(15210,15226) = 2¹ × 3² × 5¹ × 13² × 23¹ × 331¹
LCM(15210,15226) = 115793730